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Finding the Third Proportional to 93.76 and 193.55

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Solution

The third proportional to 93.76 and 193.55 is: 399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.76 : 193.55 = 193.55 : x
  2. Step 2: Convert to fraction form
    93.76/193.55 = 193.55/x
  3. Step 3: Cross multiply
    93.76x = 193.55 × 193.55
  4. Step 4: Simplify right side
    93.76x = 37,462.66
  5. Step 5: Solve for x
    x = 37,462.66/93.76
  6. Step 6: Final answer
    x = 399.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.